Question

Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by a semicircle A rectangle topped by a semicircle. The rectangle has length of 18 meters and width of 15 meters. The circle has diameter 15 meters. a. 98.10 m b. 52.57 m c. 89.55 m d. 74.55 m Please select the best answer from the choices provided A B C D

Answer 1

74.6 m

Explanation:

First look at the rectangle, which is 15 meters wide horizontally and 18 meters long vertically. This rectangle contributes 2(18 m) + 15 m to the perimeter (the 15 m side is the bottom of the figure). That comes to 2(18) m + 15 m, or 51 m.

Next, look at the semicircle. Its diameter is 15 m and thus its total circumference is approximately (3.14)(15 m), or 47.1 m. We take only half of this circumference in calculating the perimeter of this figure: 23.6 m.

The total perimeter of this figure is 23.6 m + 51 m, or approximately 74.6 m.